Abstract
This paper investigates the asymptotic projective synchronization and finite-time projective synchronization (FPS) of complex networks (CNs) with nonidentical nodes and quantized time-varying delayed coupling. Adaptive control method and finite-time stability theory are employed to design a novel adaptive controller and its adaptive law. The effectiveness and stability of the proposed adaptive controller are demonstrated through rigorous derivations based on Lyapunov stability theory and non-smooth analysis. It is indispensable that through numerical simulation experiments and comparative analysis, we verify the validity of the theoretical results and show the proposed adaptive controller can realize the synchronization of CNs with different nodes. This study holds significant theoretical value and practical relevance for understanding and controlling CNs with quantized time-varying delayed coupling.
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